Rotational symmetry of order 2. Reflection symmetry about the perpendicular bisectors of the sides.
Equilateral triangles have 3 perpendicular bisectors
True, the diagonals of a rhombus are perpendicular bisectors of one another.
nope
The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.
rectangle
Rotational symmetry of order 2. Reflection symmetry about the perpendicular bisectors of the sides.
Equilateral triangles have 3 perpendicular bisectors
No, they are just bisectors. The angle between them is not (usually) the 90o required to be perpendicular.
True, the diagonals of a rhombus are perpendicular bisectors of one another.
nope
all three perpendicular bisectors elongate to meet at the incenter of the triangle.
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.
Oh, what a happy little question! The type of triangle you're describing is called an equilateral triangle. In an equilateral triangle, all three angles are equal, and the angle bisectors are also the perpendicular bisectors of the sides, creating a beautiful balance in the painting of geometry.
equalateral
circumcenter